Abstract
By studying the arising problem in the decision-making of multi-objective attributes in regard to interval valued intuitionistic fuzzy soft set of interval-valued intuitionistic fuzzy soft set in the process of decision-making of multi-objective attributes, redefine the triangular interval-valued intuitionistic fuzzy soft set based on the triangular fuzzy number and the inclusion degree, and discuss their related properties and operations. At the same time, aiming at the problem that the equal inclusion degree value cannot determine in the previous algorithms, a new approach of decision-making of multi-objective attributes based on triangular interval-valued intuitionistic fuzzy soft set inclusion degree is proposed. In this method, we introduce the mean and variance, which can select the sum of the largest inclusion degrees, and choose the smaller variance as the best decision goal. At last, the validity and the correctness will be proved through instances.
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